Free Boson Realization of $U_q(\widehat{sl_N})$
High Energy Physics - Theory
2015-06-26 v1
Abstract
We construct a realization of the quantum affine algebra of an arbitrary level in terms of free boson fields. In the limit this realization becomes the Wakimoto realization of . The screening currents and the vertex operators(primary fields) are also constructed; the former commutes with modulo total difference, and the latter creates the highest weight state from the vacuum state of the boson Fock space.
Keywords
Cite
@article{arxiv.hep-th/9305146,
title = {Free Boson Realization of $U_q(\widehat{sl_N})$},
author = {H. Awata and S. Odake and J. Shiraishi},
journal= {arXiv preprint arXiv:hep-th/9305146},
year = {2015}
}
Comments
24 pages, LaTeX, RIMS-924, YITP/K-1018